Which is a correct first step for solving this equation? - 32 + 2 - 52 - 7 = 4x + 2
1 answer:
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Answer:
The two consecutive even numbers are 12 and 14.
Step-by-step explanation:
Set up the equation, which turns out to be a quadratic, solve for n:
We are looking for positive even numbers, so the solution -7 is not valid. The solution for n is 6, and the two consecutive even numbers are:
2*6=12
2*7=14
Test: 12*12 + 14*14 = 340
Answer:
This is called a mid segment theorem in which the al ine segment (DE) joining the midpoints of two sides of a triangle is parallel to the third side.
Step-by-step explanation:
Suppose we have a triangle ABC. Then the midpoints can be located as D, E and F. If we join D , E and F another triangle is formed.
From the figure we can see that
AE≅ CE
AD≅DB
BF≅CF
BECAUSE all the given points are the midpoints which divide the lines into two equal halves.
If we increase the line DE to a point L we find out that DL is parallel to BC i.e. it does not meet at any point with BC. ( the two lines do not meet)
(1)
If we join C with L we find out that the the line DE is half in length to the line BC.
AS
AE= CE (midpoints dividing into equal line segements.)
LE= DE
Triangle CEL= Triangle DEF
so
DL= BC
But DE = 1/2 DL
therefore
DE= 1/2 BC (2)
Therefore from 1 and 2 we find that a line segment (DE) joining the midpoints of two sides of a triangle is parallel to the third side
Answer:
4 square yards.
Step-by-step explanation:
Let's break the units down.
A yard is 3 feet, so:
The area is . The individual dimensions don't matter here.
So 36 square feet is equal to 4 square yards.